Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. 1-3-2-6 vs 1-2-3-5 (4-Shoe Chop)
STAGE 2 STRESS TEST · 1-3-2-6 VS 1-2-3-5

1-3-2-6 Four-Stage Sequence vs. 1-2-3-5 Four-Step Ladder — Four-Shoe Alternating Sawtooth under 5% Banker Commission (288-Hand Stress Test)

Within variance-scaled testbed S421-0, a 160-unit bankroll facing 288 coups of 4-Shoe Chop (chop) and a 100-unit maximum wager calibrates 24.92% ruin (5.05u expected loss) on 1-3-2-6 Four-Stage Sequence versus 13.51% ruin (4.47u expected loss) on 1-2-3-5 Four-Step Ladder. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

1-3-2-6 Ruin Rate
24.92%
1-2-3-5 Ruin Rate
13.51%
Peak Trough (3-Run)
-20u
4-Shoe Chop House Edge
1.0579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P P B B B P P B B P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = =
Small Road = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig = = ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S421 (1-3-2-6 vs 1-2-3-5, Four-Shoe Alternating Sawtooth under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
1-3-2-6 vs 1-2-3-5 (4-Shoe Chop)

Stress cell S421 compares 1-3-2-6 against 1-2-3-5 over 288 hands.

Head-to-Head Ruin Rate
24.92% vs 13.51%

Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.

Expected Session Hold
5.05u vs 4.47u

Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.

Peak Drawdown Excursion
-20u vs -12u

Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
27 Ties · 2.42u Drag

Reflects 9.38% tie frequency (27 pushes) and 2.42u in vigorish friction.

STRESS CELL S421 · CHOP SHOE PROFILE

1-3-2-6 vs. 1-2-3-5 absorbing-barrier excursion (288 Hands · S421)

In head-to-head trial S421-1 across 288 deals (4-Shoe Chop, 1.0579% edge), 1-3-2-6 records a -20u peak distribution and 24.92% ruin probability on a 160-unit stack, whereas 1-2-3-5 logs a -12u trough and 13.51% ruin under the 100-unit limit.

Within session-bounded testbed S421-2, a 160-unit bankroll facing 288 coups of 4-Shoe Chop (chop) and a 100-unit maximum wager models 24.92% ruin (5.05u expected loss) on 1-3-2-6 Four-Stage Sequence versus 13.51% ruin (4.47u expected loss) on 1-2-3-5 Four-Step Ladder.

S421 excursion1-3-2-61-2-3-5
1-3-2-6 / 1-2-3-5 Rule1-3-2-61-2-3-5
288-Hand Ruin (160u)24.92%13.51%
4-Shoe Chop Hold (1.0579%)5.05u4.47u
3-Run Trough (100u Cap)-20u-12u
VIGORISH & TABLE CEILING INTERACTION

4-Shoe Chop Vigorish (2.42u) & 9.38% Tie Push Audit (S421)

In head-to-head trial S421-3 across 288 deals (4-Shoe Chop, 1.0579% edge), 1-3-2-6 records a -20u peak envelope and 24.92% ruin probability on a 160-unit stack, whereas 1-2-3-5 logs a -12u trough and 13.51% ruin under the 100-unit limit.

Within finite-shoe testbed S421-4, a 160-unit bankroll facing 288 coups of 4-Shoe Chop (chop) and a 100-unit maximum wager dissects 24.92% ruin (5.05u expected loss) on 1-3-2-6 Four-Stage Sequence versus 13.51% ruin (4.47u expected loss) on 1-2-3-5 Four-Step Ladder.

  • Trial S421: set a 160u stop before running 1-3-2-6 vs 1-2-3-5 over 288 hands.
  • Scenario S421 inspects 2.42u in commission drag and 27 tie pushes (9.38% Tie rate).
  • Board rule S421: derived road red marks absorbing-barrier column repetition and blue marks a structural break (excursion), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from 1-2-3-5 to 1-3-2-6 during Four-Shoe Alternating Sawtooth under 5% Banker Commission neutralizes the 1.0579% house edge.
TruthOver 288 hands on a 160-unit stack, 1-3-2-6 carries 5.05u expected loss (24.92% ruin) vs 4.47u (13.51% ruin) for 1-2-3-5.
MythDuring a 3-hand chop sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android